diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Face_graph_output_builder.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Face_graph_output_builder.h
index d854eec8a37..f6dca078d05 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Face_graph_output_builder.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Face_graph_output_builder.h
@@ -460,10 +460,6 @@ public:
     Intersection_edge_map& intersection_edges1 = mesh_to_intersection_edges[&tm1];
     Intersection_edge_map& intersection_edges2 = mesh_to_intersection_edges[&tm2];
 
-    // this will initialize face indices if the face index map is writable.
-    BGL::internal::initialize_face_index_map(fids1, tm1);
-    BGL::internal::initialize_face_index_map(fids2, tm2);
-
     // bitset to identify coplanar faces
     boost::dynamic_bitset<> tm1_coplanar_faces(num_faces(tm1), 0);
     boost::dynamic_bitset<> tm2_coplanar_faces(num_faces(tm2), 0);
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Output_builder_for_autorefinement.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Output_builder_for_autorefinement.h
index 33db7adf4da..0e37037ceb5 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Output_builder_for_autorefinement.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Output_builder_for_autorefinement.h
@@ -236,9 +236,6 @@ public:
       intersection_edges.insert(edge(p.second.h2, tm));
     }
 
-    // this will initialize face indices if the face index map is writable.
-    BGL::internal::initialize_face_index_map(fids, tm);
-
     // bitset to identify coplanar faces
     boost::dynamic_bitset<> tm_coplanar_faces(num_faces(tm), 0);